Amath club has 40 members. the number of girls is less than 2 times the number of boys. how many members are boys? how many members are girls?

Complete Question:

A math club has 40 members. the number of girls is five less than 2 times the number of boys. how many members are boys? how many members are girls?

There are 15 boys and 25 girls in math club.

Step-by-step explanation:

This math club has 40 members.  So, the members counts are combined counts of boys and girls.  From this we can write

                                 B + G = 40

Where,

B = boys and G = girls.

The second sentence gives us

                               G = 2 B - 5

Using substitution, we can revise the first equation using the expression for 'G' from the second equation.

                                 B + G = 40

                                 B + (2 B - 5) = 40

                                 3 B = 40 + 5

                                 3 B = 45

                                  B = 15

Hence, there are 15 boys.  

Given that there are 15 boys, use this value and evaluate G

                                     15 + G = 40

                                     G = 25  

So, there are 25 girls.

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step-by-step explanation:

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